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\def\myurl{http://www.math.toronto.edu/~drorbn}
\def\thistalk{Hefei-1811}
\def\title{Locally Euclidean Knotted Objects, Meta-Hopf Algebras, and Circuit Algebras}

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  \href{\myurl}{Dror Bar-Natan}:
  \href{\myurl/Talks}{Talks}:
  \href{\myurl/Talks/\thistalk/}{\thistalk}:
}}
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\def\myurl{http://www.math.toronto.edu/~drorbn}
\def\thistalk{Hefei-1811}
\def\title{Locally Euclidean Knotted Objects, Meta-Hopf Algebras, and Circuit Algebras}

\def\navigator{{
  \href{\myurl}{Dror Bar-Natan}:
  \href{\myurl/Talks}{Talks}:
  \href{\myurl/Talks/\thistalk/}{\thistalk}:
}}
\def\thanks{{Thanks for inviting me to Hefei!}}
\def\webdef{{Handout, video, links at {\greektext web}$\coloneqq$\href{http://drorbn.net/hef18}{http://drorbn.net/hef18/}}}
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%  Handout, video, links at {\greektext web}$\coloneqq$\href{http://drorbn.net/hef18}{http://drorbn.net/hef18/}
%  \hfill Thanks for inviting me to Hefei!
%}
%
{\red\bf Abstract.} Seeing that I have nothing to say about operads,
\text{I'll} talk about other ``generalized algebraic structures'' that
I like. Specifically, I will explain what are locally Euclidean
knotted objects and how they form a ``meta-Hopf algebra'' (along the
way explaining what is that latter notion). I will then describe the
``circuit algebra'' of linearized circuits and explain how to use it
to construct a ``Yang-Baxter meta-Hopf algebra'' which generalizes the
Alexander polynomial. I will have no time to explain, yet I'll sketch,
how ``solvable approximation of semi-simple Lie algebras'' lead to more
sophisticated Yang-Baxter meta-Hopf algebras which lead to very powerful
poly-time computable knot polynomials.
}}}}

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